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Find the first term and the common different of an arithmetic progression if the sixth term is

25 and the sum of the six terms in the progression is 80.

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  1. a + 5d = 25 or a = 25-5d

    sum(6) = 3(2a + 5d) = 80
    6a + 15d = 80
    6(25-5d) + 15d = 80
    150 - 30d + 15d = 80
    -15d = -70
    d = 70/15 = 14/3
    then a = 25 - 5(14/3) = 5/3

    your turn to finish it

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